Question

An experiment has been conducted for four treatments with eight
blocks. Complete the following analysis of variance table (to 2
decimals but *p*-value to 4 decimals, if necessary). If
answer is zero enter "0".

Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F |
p-value |

Treatments | 700 | ||||

Blocks | 400 | ||||

Error | |||||

Total | 1,500 |

Use alpha= .05 to test for any significant differences.

Answer #1

The given ANOVA Table is completed as follows:

Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F | p - value |

Treatments | 700 | 4-1=3 | 700/3=233.33 | 233.33/19.05=12.25 | 0.0001 |

Blocks | 400 | 8-1=7 | 400/7=57.14 | 57.14/19.05=3.00 | 0.0239 |

Error | 400 | 32-4-8+1=21 | 400/21=19.05 | ||

Total | 1500 | 32-1=31 | |||

For Treatments:

F = 233.33/19.05=12.25

Degrees of Freedom = (3,21). By Technology, p - value = 0.0001

Since p - value = 0.0001 is less than = 0.05, the difference is significant. Reject null hypothesis.

For Blocks:

F = 57.14/19.05=3.00

Degrees of Freedom = (7,21). By Technology, p - value = 0.0239

Since p - value = 0.0239 is less than = 0.05, the difference is significant. Reject null hypothesis.

An experiment has been conducted for four treatments with eight
blocks. Complete the following analysis of variance table (to 2
decimals, if necessary and p-value to 4 decimals). If your
answer is zero enter "0".
Source of Variation
Sum of Squares
Degrees of Freedom
Mean Square
F
p-value
Treatments
900
Blocks
400
Error
Total
1,700

An experiment has been conducted for four treatments with eight
blocks. Complete the following analysis of variance table (to 2
decimals, if necessary and p-value to 4 decimals). If your
answer is zero enter "0".
Source of Variation
Sum of Squares
Degrees of Freedom
Mean Square
F
p-value
Treatments
800
Blocks
300
Error
Total
1,700

2.An experiment has been conducted for four treatments with
eight blocks. Complete the following analysis of variance table
(to 2 decimals, if necessary and p-value to 4
decimals). If your answer is zero enter "0".
Source of
Variation
Sum of
Squares
Degrees of
Freedom
Mean Square
F
p-value
Treatments
1,000
Blocks
600
Error
Total
1,900

In an experiment designed to test the output levels of three
different treatments, the following results were obtained: SST= 420
SSTR=150 NT=19. Set up the ANOVA table and test for any significant
difference between the mean output levels of the three treatments.
Use A=.05.
Source
of Variation
Sum
of Squares
Degrees
of Freedom
Mean Square
(to 2 decimals)
(to 2 decimals)
-value
(to 4 decimals)
Treatments
150
Error
Total
420
The P-value is - Select your answer -less than .01between...

The calculations for a factorial experiment involving four
levels of factor A, three levels of factor B, and three
replications resulted in the following data: SST= 248, SSA= 22,
SSB= 21, SSAB= 155.
Set up the ANOVA table and test for significance using alpha=
.05 . Show entries to 2 decimals, if necessary. If the answer is
zero enter “0”.
Source of Variation
Sum of Squares
Degrees of Freedom
Mean Square
F
p-value
Factor A
Factor B
Interaction
Error
Total

You may need to use the appropriate technology to answer this
question.
An experiment has been conducted for four treatments with seven
blocks. Complete the following analysis of variance table. (Round
your values for mean squares and F to two decimal places,
and your p-value to three decimal places.)
Source
of Variation
Sum
of Squares
Degrees
of Freedom
Mean
Square
F
p-value
Treatments
300
Blocks
700
Error
100
Total
1,100
Use α = 0.05 to test for any significant
differences....

In a completely randomized design, 12 experimental units were
used for the first treatment, 15 for the second treatment, and 20
for the third treatment. Complete the following analysis of
variance (to 2 decimals, if necessary). If the answer is zero enter
"0".
Source of Variation
Sum of Squares
Degrees of Freedom
Mean Square
F
p-value
Treatments
1400
Error
Total
1800
At a .05 level of significance, is there a significant
difference between the treatments?
The p-value is - Select...

In a completely randomized design, 12 experimental units were
used for the first treatment, 15 for the second treatment, and 20
for the third treatment. Complete the following analysis of
variance (to 2 decimals, if necessary). If the answer is zero enter
"0".
Source of Variation
Sum of Squares
Degrees of Freedom
Mean Square
F
p-value
Treatments
1100
Error
700
44
xx
xxxx
Total
1800
xx
xxx

Consider the experimental results for the following randomized
block design. Make the calculations necessary to set up the
analysis of variance table.
Treatment A B C
1 11 10 9
Blocks 2 12 6 6
3 18 16 14
4 21 18 19
5 8 8 9
Use = .05 to test for any significant differences. Show entries
to 2 decimals, if necessary. Round p-value to four decimal places.
If your answer is zero enter "0". Source of Variation Sum...

In a completely randomized design, 12 experimental units were
used for the first treatment, 15 for the second treatment, and 20
for the third treatment. Complete the following analysis of
variance (to 2 decimals, if necessary). If the answer is zero enter
"0".
Source of Variation
Sum of Squares
Degrees of Freedom
Mean Square
F
p-value
Treatments
1,200
Error
Total
1,800
At a .05 level of significance, is there a significant
difference between the treatments?
The -value is - Select...

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